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Finding the Third Proportional to 42,370 and 90,556

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Solution

The third proportional to 42,370 and 90,556 is: 193,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,370 : 90,556 = 90,556 : x
  2. Step 2: Convert to fraction form
    42,370/90,556 = 90,556/x
  3. Step 3: Cross multiply
    42,370x = 90,556 × 90,556
  4. Step 4: Simplify right side
    42,370x = 8,200,389,136
  5. Step 5: Solve for x
    x = 8,200,389,136/42,370
  6. Step 6: Final answer
    x = 193,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.